The Decomposition Method for Studying a Higher-Order Nonlinear Schrödinger Equation in Atmospheric Dynamics
نویسنده
چکیده
With the help of a multi-scale expansion method, Lou derived a type of the higher-order nonlinear Schrödinger equation from the nondimensional barotropic and quasi-geostrophic potential vorticity equation without forcing and dissipation on a betaplane channel to describe nonlinear modulated Rossby waves [1]. This higher-order nonlinear Schrödinger equation includes fourth-order dispersion with a parabolic nonlinearity law, which is one of the most important models in the study of atmospheric and ocean dynamical systems. The high dispersive cubicquintic nonlinear Schrödinger (HDCNS) equation can be written in the form
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